100103202101101 has 8 divisors (see below), whose sum is σ = 102545550551808. Its totient is φ = 97660892076000.

The previous prime is 100103202101083. The next prime is 100103202101137. The reversal of 100103202101101 is 101101202301001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100103202101101 - 2¹⁵ = 100103202068333 is a prime.

It is a super-2 number, since 2×100103202101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103202101191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4297245 + ... + 14787586.

It is an arithmetic number, because the mean of its divisors is an integer number (12818193818976).

Almost surely, 2^{100103202101101} is an apocalyptic number.

It is an amenable number.

100103202101101 is a deficient number, since it is larger than the sum of its proper divisors (2442348450707).

100103202101101 is a wasteful number, since it uses less digits than its factorization.

100103202101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19212803.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100103202101101 its reverse (101101202301001), we get a palindrome (201204404402102).

The spelling of 100103202101101 in words is "one hundred trillion, one hundred three billion, two hundred two million, one hundred one thousand, one hundred one".